I Need The Height This Time

Geometry Level 2

I have a malleable cone. If I double its radius and halve its height, does the overall volume double or halve?

Halves Doubles It remains the same None of these choices

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

Marta Reece
Jul 19, 2017

V 1 = 1 3 r 2 h V_1=\frac13r^2h

V 2 = 1 3 ( 2 r ) 2 h 2 = 1 3 × 4 r × h 2 = 2 × 1 3 r 2 h = 2 × V 1 V_2=\frac13(2r)^2\frac h2=\frac13\times4r\times\frac h2=2\times\frac13r^2h=2\times V_1

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